1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julsineya [31]
3 years ago
9

I. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30      plug in

14 =rate  30=y-intercept     starting valuse is always intercept

44+14=58       check

f(x)= 10x+50

f(x)= 14x+30     solve

10x+50=14x+30   set values together

20=4x        subtract 10x and 30 from both sides

x=5

Natasha2012 [34]3 years ago
4 0

Answer:

  • 5 weeks
  • $100

Step-by-step explanation:

<h3>Part i</h3>

<u>Jennifer's account:</u>

  • f(x) = 10x + 50

<u>William's account can be expressed as:</u>

  • g(x) = 14x + 30

Because the rate of change is 14 and y-intercept is 30

<u>They will be same after x years, f(x) = g(x)</u>

  • 10x + 50 = 14x + 30
  • 14x - 10x = 50 - 30
  • 4x = 20
  • x = 5

The accounts will be same after 5 weeks

<h3>Part ii</h3>

<u>The amount in the accounts after 5 weeks:</u>

  • f(5) = g(5) = 10*5 + 50 = $100
You might be interested in
How do you solve square roots....plz give me some examples
mamaluj [8]
Square roots are numbers.
if you multiply a number by itself then it is a square number. if you are looking to find a square root of a number, a square root is finding the number that was squared (multiplied by itself) to make the other number. For example,
the square root of 4 = 2
2×2 =4
Another example, square root of 64 is 8
8×8 is 64 :)
6 0
3 years ago
What number goes in the box?<br> 2 ^ ( ) = (2^7 ÷ 2^9)^3
navik [9.2K]

Answer:

x=-6

Step-by-step explanation:

(\frac{2^{7}}{2^{9}})^{3} \\(\frac{128}{512})^{3} \\(\frac{1}{4})^{3}\\(\frac{1}{4})*(\frac{1}{4})*(\frac{1}{4})\\\frac{1*1*1}{4*4*4} \\\frac{1^{3} }{4^{3} } \\\frac{1}{64} \\2^{x}=\frac{1}{64}\\log 2^x=log\frac{1}{64}\\x*(log(2))=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{log(2)} \\x=-6

4 0
2 years ago
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
I need some help with the question please!<br> Which represents an equation for inverse variation?
Ilia_Sergeevich [38]

Answer:

it is C. y=3/x

Step-by-step explanation:

8 0
3 years ago
What is the 4(4x)+(x) equal!?
e-lub [12.9K]

4(4x)+(x)

= 16x+x

Combine like terms

16x+x

(16x+x)

= 17x

x=17


I hope that's help ! Good night .

5 0
3 years ago
Other questions:
  • Michael Started with 30 baseball cards and gave away X number of cards John you started with 40 baseball cards and gave away twi
    12·1 answer
  • Which of the following points is a solution of y &gt; |x| + 5?
    13·2 answers
  • What is the value of the expression?<br><br> −26−(6)2
    11·1 answer
  • PLZ HELPPP&lt;br /&gt;
    10·1 answer
  • HELP PLS I WILL GIVE BRAINLIEST. NO LINKS!!!
    12·1 answer
  • State the slope u-intercept and equation
    12·1 answer
  • Herman buys a mountain bike priced at $525.90 If the sales tax is 10%,what will be the total cost including tax?
    10·1 answer
  • Answer for 6,7 help pls
    9·1 answer
  • 2(x + 31.5) = 3x + 24
    12·1 answer
  • Can someone help me please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!